253877664 has 48 divisors (see below), whose sum is σ = 667941120. Its totient is φ = 84433920.

The previous prime is 253877623. The next prime is 253877717. The reversal of 253877664 is 466778352.

253877664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43224 + ... + 48744.

It is an arithmetic number, because the mean of its divisors is an integer number (13915440).

Almost surely, 2^253877664 is an apocalyptic number.

253877664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253877664 is an abundant number, since it is smaller than the sum of its proper divisors (414063456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

253877664 is a wasteful number, since it uses less digits than its factorization.

253877664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6013 (or 6005 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 48.

The square root of 253877664 is about 15933.5389665950. The cubic root of 253877664 is about 633.2008626601.

It can be divided in two parts, 253877 and 664, that added together give a triangular number (254541 = T₇₁₃).

The spelling of 253877664 in words is "two hundred fifty-three million, eight hundred seventy-seven thousand, six hundred sixty-four".